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Finding the Fourth Proportional to 12,726.25, 17,561.89 and 6,983.69

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Solution

The fourth proportional to 12,726.25, 17,561.89 and 6,983.69 is: 9,637.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,726.25 : 17,561.89 = 6,983.69 : x
  2. Step 2: Convert to fraction form
    12,726.25/17,561.89 = 6,983.69/x
  3. Step 3: Cross multiply
    12,726.25x = 17,561.89 × 6,983.69
  4. Step 4: Simplify right side
    12,726.25x = 122,646,815.28
  5. Step 5: Solve for x
    x = 122,646,815.28/12,726.25
  6. Step 6: Final answer
    x = 9,637.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.